Hard-core bosons on optical superlattices: Dynamics and relaxation in the superfluid and insulating regimes
By Marcos Rigol, A. Muramatsu, M. Olshanii. 2006
168 citations recorded by the source corpus.
We study the ground-state properties and nonequilibrium dynamics of hard-core bosons confined in one-dimensional lattices in the presence of an additional periodic potential (superlattice) and a harmonic trap. The dynamics is analyzed after a sudden switch-on or switch-off of the superlattice potential, which can bring the system into insulating or superfluid phases, respectively. A collapse and revival of the zero-momentum peak can be seen in the first case. We study in detail the relaxation of these integrable systems towards equilibrium. We show how after relaxation time averages of physical observables, like the momentum distribution function, can be predicted by means of a generalization of the Gibbs distribution.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/17afdbf1239b5bf9367ba59f38bd6418f969ae83
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In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Generalized Gibbs ensemble in integrable lattice models (2016, background): “Shortly after the Kinoshita et al experiments, it was shown that, in a system of hardcore bosons far from equilibrium, observables exhibit relaxation to time-independent values that can be predicted by means of a generalized Gibbs ensemble (GGE) [35, 36].”
- Quantum quenches in integrable field theories (2009, background): “(1) This conjecture has been the subject of several studies, mostly done by using specific models [6]–[10], but also studied for initial thermal distributions [11].”
- Quantum quenches in extended systems (2007, methodology): “To quote only a few examples, the models considered include several realizations of one-dimensional (1D) Bose gases [15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25], Luttinger liquids [26, 27], coupled 1D condensates [28], strongly correlated 1D fermions”
- One dimensional bosons: From condensed matter systems to ultracold gases (2011, background): “…et al., 2004; Wessel et al., 2004), (ii) the visibility V = n max(k)−nmin(k) nmax(k)+nmin(k) (Sengupta et al., 2005), and (iii) other observables such as the total energy measured after time of flight (Rigol et al., 2006b), can be used to detect the formation of the Mott insulating domains in 1D.”
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose–Hubbard model (2008, background): “Further the finding of the spreading of correlations with a finite velocity after a global quench has been verified in specific integrable models [5, 6, 7, 8, 9], as well as for critical systems which can be described by conformal field theory [10, 11].”
- Entanglement temperature and entanglement entropy of excited states (2013, methodology): “To facilitate a comparison with the result of [15], we take the Fourier transform of 〈O(x′ + ξ, t)〉J and make explicit the dependence of J(x′ + ξ, t) on 〈O(k1, w1)〉J :”